11216406678849 has 40 divisors (see below), whose sum is σ = 16863479643560. Its totient is φ = 7429366324224.

The previous prime is 11216406678817. The next prime is 11216406678857. The reversal of 11216406678849 is 94887660461211.

11216406678849 is a `hidden beast` number, since 1 + 1 + 216 + 406 + 6 + 7 + 8 + 8 + 4 + 9 = 666.

11216406678849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1253040688449 + 9963365990400 = 1119393^2 + 3156480^2 .

It is not a de Polignac number, because 11216406678849 - 2⁵ = 11216406678817 is a prime.

It is a super-3 number, since 3×11216406678849³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11216406678809) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 196996017 + ... + 197052945.

It is an arithmetic number, because the mean of its divisors is an integer number (421586991089).

Almost surely, 2^{11216406678849} is an apocalyptic number.

It is an amenable number.

11216406678849 is a deficient number, since it is larger than the sum of its proper divisors (5647072964711).

11216406678849 is a wasteful number, since it uses less digits than its factorization.

11216406678849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72591 (or 72582 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 11216406678849 in words is "eleven trillion, two hundred sixteen billion, four hundred six million, six hundred seventy-eight thousand, eight hundred forty-nine".